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Volumn 130, Issue 1, 2011, Pages 19-29

A rigorous approach to investigating common assumptions about disease transmission : Process algebra as an emerging modelling methodology for epidemiology

Author keywords

Changing scale; Epidemiology; Multiscale modelling; Theoretical computer science

Indexed keywords

BIOLOGICAL MODEL; COMMUNICABLE DISEASE; COMPUTER SIMULATION; CONFERENCE PAPER; DISEASE TRANSMISSION; EPIDEMIC; HUMAN; PROBABILITY; STATISTICS;

EID: 79952193050     PISSN: 14317613     EISSN: 16117530     Source Type: Journal    
DOI: 10.1007/s12064-010-0106-8     Document Type: Conference Paper
Times cited : (6)

References (43)
  • 1
    • 0001430464 scopus 로고
    • The population-dynamics of micro-parasites and their invertebrate hosts
    • 10.1098/rstb.1981.0005
    • RM Anderson RM May 1981 The population-dynamics of micro-parasites and their invertebrate hosts. Philos Trans R Soc B 291 451 524 10.1098/rstb.1981. 0005
    • (1981) Philos Trans R Soc B , vol.291 , pp. 451-524
    • Anderson, R.M.1    May, R.M.2
  • 2
    • 17944367389 scopus 로고    scopus 로고
    • A brief history of process algebra
    • DOI 10.1016/j.tcs.2004.07.036, PII S0304397505000307, Process Algebra PAOPaFD 2003
    • JCM Baeten 2005 A brief history of process algebra Theor Comput Sci 335 2/3 131 146 10.1016/j.tcs.2004.07.036 (Pubitemid 40597311)
    • (2005) Theoretical Computer Science , vol.335 , Issue.2-3 , pp. 131-146
    • Baeten, J.C.M.1
  • 3
    • 0036677204 scopus 로고    scopus 로고
    • A clarification of transmission terms in host-microparasite models: Numbers, densities and areas
    • 1:STN:280:DC%2BD38vlt1SjtQ%3D%3D 10.1017/S0950268802007148 12211582
    • M Begon M Bennet RG Bowers NP French SM Hazel J Turner 2002 A clarification of transmission terms in host-microparasite models: numbers, densities and areas Epidemiol Infect 129 147 153 1:STN:280: DC%2BD38vlt1SjtQ%3D%3D 10.1017/S0950268802007148 12211582
    • (2002) Epidemiol Infect , vol.129 , pp. 147-153
    • Begon, M.1    Bennet, M.2    Bowers, R.G.3    French, N.P.4    Hazel, S.M.5    Turner, J.6
  • 5
    • 0036268061 scopus 로고    scopus 로고
    • Parasite-driven extinction in spatially explicit host-parasite systems
    • DOI 10.1086/339996
    • M Boots A Sasaki 2001 Parasite-driven extinction in spatially explicit host-parasite systems Am Nat 159 706 713 10.1086/339996 (Pubitemid 34598384)
    • (2002) American Naturalist , vol.159 , Issue.6 , pp. 706-713
    • Boots, M.1    Sasaki, A.2
  • 6
    • 54449096130 scopus 로고    scopus 로고
    • Synapses as stochastic concurrent systems
    • 10.1016/j.tcs.2008.07.008
    • A Bracciali M Brunelli E Cataldo P Degano 2008 Synapses as stochastic concurrent systems Theor Comput Sci 408 66 82 10.1016/j.tcs.2008.07.008
    • (2008) Theor Comput Sci , vol.408 , pp. 66-82
    • Bracciali, A.1    Brunelli, M.2    Cataldo, E.3    Degano, P.4
  • 7
    • 0028975471 scopus 로고
    • The dynamics of insect-pathogen interactions in stage-structured environments
    • 10.1086/285774
    • CJ Briggs HCJ Godfray 1995 The dynamics of insect-pathogen interactions in stage-structured environments Am Nat 145 855 887 10.1086/285774
    • (1995) Am Nat , vol.145 , pp. 855-887
    • Briggs, C.J.1    Godfray, H.C.J.2
  • 8
    • 70450185589 scopus 로고    scopus 로고
    • Process algebra modelling styles for biomolecular processes
    • Lecture notes in computer science Springer, Berlin
    • Calder M, Hillston J (2010) Process algebra modelling styles for biomolecular processes. In: Transactions on computational systems biology XI. Lecture notes in computer science, vol 5750. Springer, Berlin, pp 1-25
    • (2010) Transactions on Computational Systems Biology XI , vol.5750 , pp. 1-25
    • Calder, M.1    Hillston, J.2
  • 9
    • 48249136571 scopus 로고    scopus 로고
    • From processes to ODEs by chemistry
    • international federation for information processing Springer, Boston
    • Cardelli L (2008a) From processes to ODEs by chemistry. In: 5th IFIP international conference on theoretical computer science (TCS 2008), international federation for information processing, vol 273. Springer, Boston, pp 261-281
    • (2008) 5th IFIP International Conference on Theoretical Computer Science (TCS 2008) , vol.273 , pp. 261-281
    • Cardelli, L.1
  • 10
    • 38649092709 scopus 로고    scopus 로고
    • On process rate semantics
    • 10.1016/j.tcs.2007.11.012
    • L Cardelli 2008 On process rate semantics Theor Comput Sci 391 190 215 10.1016/j.tcs.2007.11.012
    • (2008) Theor Comput Sci , vol.391 , pp. 190-215
    • Cardelli, L.1
  • 12
    • 44049091085 scopus 로고    scopus 로고
    • The crucial role of CS in systems and synthetic biology
    • DOI 10.1145/1342327.1342332
    • J Cohen 2008 The crucial role of CS in systems and synthetic biology Commun ACM 51 15 18 10.1145/1342327.1342332 (Pubitemid 351709477)
    • (2008) Communications of the ACM , vol.51 , Issue.5 , pp. 15-18
    • Cohen, J.1
  • 14
    • 0035927612 scopus 로고    scopus 로고
    • Pair approximation for lattice models with multiple interaction scales
    • DOI 10.1006/jtbi.2001.2322
    • A Ellner 2001 Pair approximation for lattice models with multiple interaction scales J Theor Biol 210 435 447 1:STN:280:DC%2BD3Mzjs1KnsQ%3D%3D 10.1006/jtbi.2001.2322 11403564 (Pubitemid 32619873)
    • (2001) Journal of Theoretical Biology , vol.210 , Issue.4 , pp. 435-447
    • Ellner, S.P.1
  • 15
    • 0036742090 scopus 로고    scopus 로고
    • Parasite transmission: Reconciling theory and reality
    • 10.1046/j.1365-2656.2002.00656.x
    • A Fenton JP Fairbairn RA Norman PJ Hudson 2001 Parasite transmission: reconciling theory and reality J Anim Ecol 71 893 905 10.1046/j.1365-2656.2002. 00656.x
    • (2001) J Anim Ecol , vol.71 , pp. 893-905
    • Fenton, A.1    Fairbairn, J.P.2    Norman, R.A.3    Hudson, P.J.4
  • 16
    • 33645429016 scopus 로고
    • Exact stochastic simulation of coupled chemical-reactions
    • 1:CAS:528:DyaE1cXht1GntA%3D%3D 10.1021/j100540a008
    • DT Gillespie 1977 Exact stochastic simulation of coupled chemical-reactions J Phys Chem 81 25 2340 2361 1:CAS:528:DyaE1cXht1GntA%3D%3D 10.1021/j100540a008
    • (1977) J Phys Chem , vol.81 , Issue.25 , pp. 2340-2361
    • Gillespie, D.T.1
  • 19
    • 0026360116 scopus 로고
    • Non-linear transmission rates and the dynamics of infectious disease
    • ME Hochberg 1991 Non-linear transmission rates and the dynamics of infectious disease J Theor Biol 153 301 321 1:STN:280:DyaK387os1enug%3D%3D 10.1016/S0022-5193(05)80572-7 1798335 (Pubitemid 23398024)
    • (1991) Journal of Theoretical Biology , vol.153 , Issue.3 , pp. 301-321
    • Hochberg, M.E.1
  • 20
    • 42749105905 scopus 로고    scopus 로고
    • Pair approximation of the stochastic susceptible-infected-recovered- susceptible epidemic model on the hypercubic lattice
    • 10.1103/PhysRevE.70.036114
    • J Joo JL Lebowitz 2004 Pair approximation of the stochastic susceptible-infected-recovered-susceptible epidemic model on the hypercubic lattice Phys Rev E 70 036114 10.1103/PhysRevE.70.036114
    • (2004) Phys Rev e , vol.70 , pp. 036114
    • Joo, J.1    Lebowitz, J.L.2
  • 21
    • 0018828164 scopus 로고
    • On the identification of superspreaders for infectious disease
    • DOI 10.1016/0025-5564(80)90018-8
    • JT Kemper 1980 Identification of superspreaders for infectious-disease Math Biosci 48 111 127 10.1016/0025-5564(80)90018-8 (Pubitemid 10095412)
    • (1980) Mathematical Biosciences , vol.48 , Issue.1-2 , pp. 111-127
    • Kemper, J.T.1
  • 22
    • 0000998185 scopus 로고
    • Contributions to the mathematical theory of epidemics i
    • 10.1098/rspa.1927.0118
    • WO Kermack AG McKendrick 1927 Contributions to the mathematical theory of epidemics I Proc R Soc A 115 700 721 10.1098/rspa.1927.0118
    • (1927) Proc R Soc A , vol.115 , pp. 700-721
    • Kermack, W.O.1    McKendrick, A.G.2
  • 23
    • 0036500993 scopus 로고    scopus 로고
    • Systems biology: A brief overview
    • DOI 10.1126/science.1069492
    • H Kitano 2002 Systems biology: a brief overview Science 295 1662 1664 1:CAS:528:DC%2BD38Xhsleitb0%3D 10.1126/science.1069492 11872829 (Pubitemid 34202893)
    • (2002) Science , vol.295 , Issue.5560 , pp. 1662-1664
    • Kitano, H.1
  • 24
    • 0031875597 scopus 로고    scopus 로고
    • Transmission of Plodia interpunctella granulosis virus does not conform to the mass action model
    • RJ Knell M Begon DJ Thompson 1998 Transmission of Plodia interpunctella granulosis virus does not conform to the mass action model J Anim Ecol 67 592 599 10.1046/j.1365-2656.1998.00219.x (Pubitemid 28351549)
    • (1998) Journal of Animal Ecology , vol.67 , Issue.4 , pp. 592-599
    • Knell, R.J.1    Begon, M.2    Thompson, D.J.3
  • 25
    • 0002232633 scopus 로고
    • Solutions of ordinary differential equations as limits of pure jump markov processes
    • 10.2307/3212147
    • TG Kurtz 1970 Solutions of ordinary differential equations as limits of pure jump markov processes J Appl Probab 7 49 58 10.2307/3212147
    • (1970) J Appl Probab , vol.7 , pp. 49-58
    • Kurtz, T.G.1
  • 26
    • 0000435608 scopus 로고
    • Statistical mechanics of population - The lattice Lotka Volterra model
    • 10.1143/PTP.88.1035
    • H Matsuda N Ogita A Sasaki K Sato 1992 Statistical mechanics of population - the lattice Lotka Volterra model Prog Theor Phys 88 1035 1049 10.1143/PTP.88.1035
    • (1992) Prog Theor Phys , vol.88 , pp. 1035-1049
    • Matsuda, H.1    Ogita, N.2    Sasaki, A.3    Sato, K.4
  • 28
    • 79952068417 scopus 로고    scopus 로고
    • Deriving mean field equations from large process algebra models
    • Department of Computing Science and Mathematics, University of Stirling
    • McCaig C, Norman R, Shankland C (2008) Deriving mean field equations from large process algebra models. Technical Report CSM-175, Department of Computing Science and Mathematics, University of Stirling. http://hdl.handle.net/1893/ 1584
    • (2008) Technical Report CSM-175
    • McCaig, C.1    Norman, R.2    Shankland, C.3
  • 29
    • 76349119695 scopus 로고    scopus 로고
    • From individuals to populations: A symbolic process algebra approach to epidemiology
    • C McCaig R Norman C Shankland 2009 From individuals to populations: a symbolic process algebra approach to epidemiology Math Comp Sci 2 3 139 155
    • (2009) Math Comp Sci , vol.2 , Issue.3 , pp. 139-155
    • McCaig, C.1    Norman, R.2    Shankland, C.3
  • 30
    • 0003630836 scopus 로고
    • Lecture notes in computer science Springer-Verlag, New York
    • Milner R (1980) A calculus of communicating systems. Lecture notes in computer science, vol 92. Springer-Verlag, New York
    • (1980) A Calculus of Communicating Systems , vol.92
    • Milner, R.1
  • 31
    • 0242339708 scopus 로고    scopus 로고
    • Developing the use of process algebra in the derivation and analysis of mathematical models of infectious disease
    • Computer Aided Systems Theory - EUROCAST 2003
    • Norman R, Shankland C (2003) Developing the use of process algebra in the derivation and analysis of mathematical models of infectious disease. In: Computer aided systems theory-EUROCAST 2003. Lecture notes in computer science, vol 2809. Springer, Berlin, pp 404-414 (Pubitemid 37342478)
    • (2003) Lecture Notes in Computer Science , Issue.2809 , pp. 404-414
    • Norman, R.1    Shankland, C.2
  • 32
    • 70349105045 scopus 로고    scopus 로고
    • Relative importance of density-dependent regulation and environmental stochasticity for butterfly population dynamics
    • 10.1007/s00442-009-1373-2
    • P Nowicki S Bonelli F Barbero E Balletto 2009 Relative importance of density-dependent regulation and environmental stochasticity for butterfly population dynamics Oecologia, 161 227 239 10.1007/s00442-009-1373-2
    • (2009) Oecologia , vol.161 , pp. 227-239
    • Nowicki, P.1    Bonelli, S.2    Barbero, F.3    Balletto, E.4
  • 33
    • 33748900986 scopus 로고    scopus 로고
    • Process calculi and life science
    • DOI 10.1016/j.entcs.2005.12.097, PII S1571066106004518
    • C Priami 2006 Process calculi and life science Electron Notes Theor Comput Sci 162 301 304 10.1016/j.entcs.2005.12.097 (Pubitemid 44428264)
    • (2006) Electronic Notes in Theoretical Computer Science , vol.162 , Issue.1 , pp. 301-304
    • Priami, C.1
  • 34
    • 0037744558 scopus 로고    scopus 로고
    • Analysis of habitat-selection rules using an individual-based model
    • SF Railsback BC Harvey 2002 Analysis of habitat-selection rules using an individual-based model Ecology 83 1817 1830 (Pubitemid 36524774)
    • (2002) Ecology , vol.83 , Issue.7 , pp. 1817-1830
    • Railsback, S.F.1    Harvey, B.C.2
  • 35
    • 0035235039 scopus 로고    scopus 로고
    • Representation and simulation of biochemical processes using the pi-calculus process algebra
    • Regev A, Silverman W, Shapiro E (2001) Representation and simulation of biochemical processes using the pi-calculus process algebra In: Pacific symposium of biocomputing 2001 (PSB2001), vol 6. pp 459-470
    • (2001) Pacific Symposium of Biocomputing 2001 (PSB2001) , vol.6 , pp. 459-470
    • Regev, A.1    Silverman, W.2    Shapiro, E.3
  • 36
    • 54449100092 scopus 로고    scopus 로고
    • Contact rate calculations for a basic epidemic model
    • 1:STN:280:DC%2BD1M3it1eluw%3D%3D 10.1016/j.mbs.2008.08.007 18783724
    • CJ Rhodes RM Anderson 2008 Contact rate calculations for a basic epidemic model Math Biosci 216 56 62 1:STN:280:DC%2BD1M3it1eluw%3D%3D 10.1016/j.mbs.2008.08.007 18783724
    • (2008) Math Biosci , vol.216 , pp. 56-62
    • Rhodes, C.J.1    Anderson, R.M.2
  • 38
    • 52949093515 scopus 로고
    • Using process algebra to describe social insect behaviour
    • C Tofts 1993 Using process algebra to describe social insect behaviour Trans Soc Comput Simul 9 227 283
    • (1993) Trans Soc Comput Simul , vol.9 , pp. 227-283
    • Tofts, C.1
  • 39
    • 0002859997 scopus 로고
    • Processes with probabilities, priority and time
    • 10.1007/BF01211867
    • C Tofts 1994 Processes with probabilities, priority and time Form Asp Comput 6 536 564 10.1007/BF01211867
    • (1994) Form Asp Comput , vol.6 , pp. 536-564
    • Tofts, C.1
  • 40
    • 12244259680 scopus 로고    scopus 로고
    • Modelling pathogen transmission: The interrelationship between local and global approaches
    • 10.1098/rspb.2002.2213
    • J Turner M Begon RG Bowers 2002 Modelling pathogen transmission: the interrelationship between local and global approaches Proc R Soc B 270 105 112 10.1098/rspb.2002.2213
    • (2002) Proc R Soc B , vol.270 , pp. 105-112
    • Turner, J.1    Begon, M.2    Bowers, R.G.3
  • 41
    • 35148840566 scopus 로고    scopus 로고
    • Host-parasite interactions between the local and the mean-field: How and when does spatial population structure matter?
    • DOI 10.1016/j.jtbi.2007.06.013, PII S0022519307002925
    • SD Webb MJ Keeling M Boots 2007 Host-parasite interactions between the local and the mean-field: How and when does spatial population structure matter J Theor Biol 249 1 140 152 10.1016/j.jtbi.2007.06.013 17719608 (Pubitemid 47539493)
    • (2007) Journal of Theoretical Biology , vol.249 , Issue.1 , pp. 140-152
    • Webb, S.D.1    Keeling, M.J.2    Boots, M.3
  • 42
    • 33846633258 scopus 로고    scopus 로고
    • Spatially extended host-parasite interactions: The role of recovery and immunity
    • DOI 10.1016/j.tpb.2006.07.010, PII S0040580906000876
    • SD Webb MJ Keeling M Boots 2007 Spatially extended host-parasite interactions: the role of recovery and immunity Theor Popul Biol 71 251 266 10.1016/j.tpb.2006.07.010 17084872 (Pubitemid 46186463)
    • (2007) Theoretical Population Biology , vol.71 , Issue.2 , pp. 251-266
    • Webb, S.D.1    Keeling, M.J.2    Boots, M.3
  • 43
    • 33745217108 scopus 로고    scopus 로고
    • Computational thinking
    • 10.1145/1118178.1118215
    • J Wing 2006 Computational thinking Commun ACM 49 33 35 10.1145/1118178.1118215
    • (2006) Commun ACM , vol.49 , pp. 33-35
    • Wing, J.1


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